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56554951680 = 210345315383
BaseRepresentation
bin110100101010111100…
…000001010000000000
312101222102010012220000
4310222330001100000
51411311031423210
641551520520000
74041325105023
oct645274012000
9171872105800
1056554951680
1121a91883297
12ab64180000
135443ac0a66
142a4711b1ba
15171009cac0
hexd2af01400

56554951680 has 880 divisors, whose sum is σ = 215713580544. Its totient is φ = 14146928640.

The previous prime is 56554951679. The next prime is 56554951697. The reversal of 56554951680 is 8615945565.

56554951680 is a `hidden beast` number, since 5 + 6 + 5 + 5 + 49 + 516 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 681384919 + ... + 681385001.

Almost surely, 256554951680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56554951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107856790272).

56554951680 is an abundant number, since it is smaller than the sum of its proper divisors (159158628864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56554951680 is a wasteful number, since it uses less digits than its factorization.

56554951680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 54.

The spelling of 56554951680 in words is "fifty-six billion, five hundred fifty-four million, nine hundred fifty-one thousand, six hundred eighty".